
Title:
Two-dimensional Self and Product Cubic Systems, Vol. II Crossing-linear and Self-quadratic Product Vector Field
Author:
Luo, Albert C. J. author.
ISBN:
9783031595745
Edition:
1st ed. 2024.
Physical Description:
X, 238 p. 46 illus., 45 illus. in color. online resource.
Abstract:
This book is the thirteenth of 15 related monographs on Cubic Dynamical Systems, discusses self- and product-cubic systems with a crossing-linear and self-quadratic products vector field. Equilibrium series with flow singularity are presented and the corresponding switching bifurcations are discussed through up-down saddles, third-order concave-source (sink), and up-down-to-down-up saddles infinite-equilibriums. The author discusses how equilibrium networks with paralleled hyperbolic and hyperbolic-secant flows exist in such cubic systems, and the corresponding switching bifurcations obtained through the inflection-source and sink infinite-equilibriums. In such cubic systems, the appearing bifurcations are: saddle-source (sink) hyperbolic-to-hyperbolic-secant flows double-saddle third-order saddle, sink and source third-order saddle-source (sink) Develops a theory of self and product cubic systems with a crossing-linear and self-quadratic products vector field; Presents equilibrium networks with paralleled hyperbolic and hyperbolic-secant flows with switching by up-down saddles; Shows equilibrium appearing bifurcations of various saddles, sinks, and flows.
Subject Term:
Added Corporate Author:
Electronic Access:
https://doi.org/10.1007/978-3-031-59574-5Copies:
Available:*
Library | Material Type | Item Barcode | Shelf Number | Status | Item Holds |
|---|---|---|---|---|---|
Searching... | E-Book | 605584-1001 | ONLINE | Searching... | Searching... |
